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Finding the Third Proportional to 191,048.63 and 400,686.75

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Solution

The third proportional to 191,048.63 and 400,686.75 is: 840,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,048.63 : 400,686.75 = 400,686.75 : x
  2. Step 2: Convert to fraction form
    191,048.63/400,686.75 = 400,686.75/x
  3. Step 3: Cross multiply
    191,048.63x = 400,686.75 × 400,686.75
  4. Step 4: Simplify right side
    191,048.63x = 160,549,871,625.56
  5. Step 5: Solve for x
    x = 160,549,871,625.56/191,048.63
  6. Step 6: Final answer
    x = 840,361.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.